Quasi-exact Solvability of the Pauli Equation

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We present a general procedure for determining possible (nonuniform) magnetic fields such that the Pauli equation becomes quasi-exactly solvable (QES) with an underlying $sl(2)$ symmetry. This procedure makes full use of the close connection between QES systems and supersymmetry. Of the ten classes of $sl(2)$-based one-dimensional QES systems, we have found that nine classes allow such construction.
LaTex, 20 pages, no figures

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High Energy Physics - Theory, Mathematical Physics, Spectral Theory, Exactly Solvable and Integrable Systems, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/184229

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0209213
 http://arxiv.org/abs/hep-th/0209213
 J.Phys.A36:4617-4628,2003
 doi:10.1088/0305-4470/36/16/311

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arXiv